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44411211444 = 22331373226621
BaseRepresentation
bin101001010111000111…
…010100111010110100
311020122002112022000010
4221113013110322310
51211423232231234
632222514220220
73131360032365
oct512707247264
9136562468003
1044411211444
111791aa75536
128735284670
134259c3c652
1422143a3b6c
15124ddd76e9
hexa571d4eb4

44411211444 has 48 divisors (see below), whose sum is σ = 109860025856. Its totient is φ = 13938998400.

The previous prime is 44411211443. The next prime is 44411211461.

44411211444 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44411211443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1599547 + ... + 1627074.

Almost surely, 244411211444 is an apocalyptic number.

It is an amenable number.

44411211444 is an abundant number, since it is smaller than the sum of its proper divisors (65448814412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44411211444 is a wasteful number, since it uses less digits than its factorization.

44411211444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226696 (or 3226694 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

The spelling of 44411211444 in words is "forty-four billion, four hundred eleven million, two hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 31 37 62 74 93 111 124 148 186 222 372 444 1147 2294 3441 4588 6882 13764 3226621 6453242 9679863 12906484 19359726 38719452 100025251 119384977 200050502 238769954 300075753 358154931 400101004 477539908 600151506 716309862 1200303012 1432619724 3700934287 7401868574 11102802861 14803737148 22205605722 44411211444